Multi-layer golf balls having a thin, relatively hard outer core layer surrounding a large, relatively soft inner core layer are provided. The inner core layer generally has a diameter of from 1.5 inches to 1.55 inches. The outer core layer generally has an outer diameter of from 1.6 inches to 1.64 inches. A cover is provided to surround the outer core layer. A moisture barrier layer is optionally provided between the outer core layer and the cover.